1168416 has 36 divisors (see below), whose sum is σ = 3323502. Its totient is φ = 389376.

The previous prime is 1168411. The next prime is 1168451. The reversal of 1168416 is 6148611.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 176400 = 996^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1168416.

It is not an unprimeable number, because it can be changed into a prime (1168411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1741 + ... + 2316.

2^1168416 is an apocalyptic number.

1168416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1168416 is an abundant number, since it is smaller than the sum of its proper divisors (2155086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1168416 is a wasteful number, since it uses less digits than its factorization.

1168416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4062 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1168416 is about 1080.9329303893. The cubic root of 1168416 is about 105.3252499628.

The spelling of 1168416 in words is "one million, one hundred sixty-eight thousand, four hundred sixteen".